What is the relationship between the longest side of a triangle and the measure of angle opposite it

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Comparing Angles and Sides in Triangles

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In any triangle:

1. The shortest side is always opposite the smallest interior angle
2. The longest side is always opposite the largest interior angle

Try this Drag the orange dots on the triangle below.

Recall that in a scalene triangle, all the sides have different lengths and all the interior angles have different measures. In such a triangle, the shortest side is always opposite the smallest angle. (These are shown in bold color above) Similarly, the longest side is opposite the largest angle.

In the figure above, drag any vertex of the triangle and see that whichever side is the shortest, the opposite angle is also the smallest. Then click on 'show largest' and see that however you reshape the triangle, the longest side is always opposite the largest interior angle.

The mid-size parts

Equilateral triangles

Isosceles triangles

Other triangle topics

General

Perimeter / Area

Triangle types

Triangle centers

Congruence and Similarity

Solving triangles

• Solving the Triangle
• Law of sines
• Law of cosines

Triangle quizzes and exercises

• Triangle type quiz
• Ball Box problem
• How Many Triangles?
• Satellite Orbits

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